131819013144

Names of 131819013144

• Cardinal: 131819013144 can be written as One hundred thirty-one billion, eight hundred nineteen million, thirteen thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.31819013144 × 10¹¹

Factors of 131819013144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 22259

Divisors of 131819013144

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 101 104 108 117 126 156 162 168 182 189 202 216 234 252 273 303 312 324 351 364 378 404 468 504 546 567 606 648 702 707 728 756 808 819 909 936 1053 1092 1134 1212 1313 1404 1414 1512 1638 1818 2106 2121 2184 2268 2424 2457 2626 2727 2808 2828 3276 3636 3939 4212 4242 4536 4914 5252 5454 5656 6363 6552 7272 7371 7878 8181 8424 8484 9191 9828 10504 10908 11817 12726 14742 15756 16362 16968 18382 19089 19656 21816 22133 23634 25452 27573 29484 31512 32724 35451 36764 38178 44266 47268 50904 55146 57267 58968 65448 66399 70902 73528 76356 82719 88532 94536 106353 110292 114534 132798 141804 152712 154931 165438 177064 199197 212706 220584 229068 248157 265596 283608 287729 309862 330876 398394 425412 458136 464793 496314 531192 575458 597591 619724 661752 744471 796788 850824 863187 929586 992628 1150916 1195182 1239448 1394379 1488942 1593576 1726374 1792773 1859172 1985256 2014103 2235433 2301832 2390364 2589561 2788758 2977884 3452748 3585546 3718344 4028206 4183137 4470866 4780728 5179122 5577516 5955768 6042309 6706299 6905496 7171092 7768683 8056412 8366274 8941732 10358244 11155032 12084618 12549411 13412598 14342184 15537366 15648031 16112824 16732548 17883464 18126927 20118897 20716488 23306049 24169236 25098822 26825196 29060629 31074732 31296062 33465096 36253854 40237794 46612098 46944093 48338472 50197644 53650392 54380781 58121258 60356691 62149464 62592124 72507708 80475588 87181887 93224196 93888186 100395288 108761562 116242516 120713382 125184248 140832279 145015416 160951176 163142343 174363774 181070073 186448392 187776372 203424403 217523124 232485032 241426764 261545661 281664558 326284686 348727548 362140146 375552744 406848806 422496837 435046248 482853528 523091322 563329116 610273209 652569372 697455096 724280292 784636983 813697612 844993674 1046182644 1126658232 1220546418 1267490511 1305138744 1448560584 1569273966 1627395224 1689987348 1830819627 2092365288 2353910949 2441092836 2534981022 3138547932 3379974696 3661639254 4707821898 4882185672 5069962044 5492458881 6277095864 7323278508 9415643796 10139924088 10984917762 14646557016 16477376643 18831287592 21969835524 32954753286 43939671048 65909506572 131819013144
• Sum of all divisors σ(n): 458938751040
• Sum of proper divisors (its aliquot sum) s(n): 327119737896
• 131819013144 is an abundant number, because the sum of its proper divisors (327119737896) is greater than itself. Its abundance is 195300724752

Bases of 131819013144

• Binary: 1111010110001000001101000010000011000₂
• Hexadecimal: 0x1EB1068418
• Base-36: 1OK1MXI0

Squares and roots of 131819013144

• 131819013144 squared (131819013144²) is 17376252226258044764736
• 131819013144 cubed (131819013144³) is 2290520420606568464778475171689984
• The square root of 131819013144 is 363068.8820926409
• The cube root of 131819013144 is 5089.3152332557

Scales and comparisons

• 131,819,013,144 seconds is equal to 4,191 years, 22 weeks, 5 days, 32 minutes, 24 seconds.
• To count from 1 to 131,819,013,144 would take you about eight thousand, three hundred eighty-two years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 131819013144 cubic inches would be around 424.1 feet tall.

Recreational maths with 131819013144

• 131819013144 backwards is 441310918131
• 131819013144 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 131819013144's digits is 36
• More coming soon!